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### Quiz 4-solutions-2

Course: MATH 305G, Spring 2011
School: University of Texas
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Word Count: 445

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445 Version Quiz 4 laude (51635) 1 This print-out should have 8 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. pH=8 means that pOH=6 and [OH ]=106 Ksp = [Zn2+ ][OH ]2 (solve for Zn2+ ) [Zn2+ ] = 3.0 1017 /(106)2 [Zn2+ ] = 3.0 105 M 001 5.0 points Consider the following Ksp values for metal carbonates: CdCO3 = 2.5 1014 CoCO3 = 8.0 1013 CuCO3...

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445 Version Quiz 4 laude (51635) 1 This print-out should have 8 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. pH=8 means that pOH=6 and [OH ]=106 Ksp = [Zn2+ ][OH ]2 (solve for Zn2+ ) [Zn2+ ] = 3.0 1017 /(106)2 [Zn2+ ] = 3.0 105 M 001 5.0 points Consider the following Ksp values for metal carbonates: CdCO3 = 2.5 1014 CoCO3 = 8.0 1013 CuCO3 = 2.5 1010 PbCO3 = 1.5 1013 Which pair would best be separated by fractional precipitation? 003 5.0 points 100 mL of 0.50 M BaCl2 is added to 100 mL of 0.50 M HCl. Which of the following equations is the correct charge balance for this system? 1. Co 2+ 2+ 2. Cd 3. Co 2+ 2+ 4. Cd 2+ 5. Cd 1. 2[Ba2+ ] + [H+ ] = 2[OH ] + 2[Cl ] 2. [Ba2+ ] + [H+ ] = 3[Cl ] 2+ and Pb 2+ and Cu 3. [Ba2+ ] + [H+ ] = [OH ] + [Cl ] correct 2+ 4. 2[Ba2+ ] = [Cl ] and Cu and Co 2+ 2+ 5. [Ba2+ ] = 2[OH ] 6. 2[Ba2+ ] + [H+ ] = 2[OH ] + [Cl ] and Pb 6. Cu2+ and Pb2+ Explanation: All the salts are 1:1 ratios so the Ksp s can be directly compared for solubility. The pair that will be the easiest to separate will be the pair that have their Ksp values the farthest apart (Cd and Cu). 002 5.0 points Hint: The common ion for this problem is hydroxide. What is the molar solubility of Zn(OH)2 in a solution buered at pH of 8.0? (Zn(OH)2 , Ksp = 3.0 1017 ) 7. 2[Ba2+ ] + [H+ ] = [OH ] + [Cl ] correct Explanation: 004 5.0 points What is the pH of a solution containing 109 M HClO4 ? 1. 9.000 2. 6.996 correct 3. 8.768 5. 5.232 4. 5.000 1. 3.0 10 5 2. 8.0 104 3. 2.0 106 4. 4.0 109 correct Explanation: 005 5.0 points What is the pH of a solution containing 0.2 M RbH2 PO4 ? The pKa1 is 2.12, the pKa2 is 7.21, and the pKa3 is 12.68. 5. 5.0 106 1. 3.95 Explanation: 2. 7.40 Version 445 Quiz 4 laude (51635) [OH ] = (Kb Cb )1/2 3. 9.95 = (1.8 104 )0.4 5. 4.67 correct 008 006 5.0 points What is the concentration of SO2 in 2.0 M 4 H2 SO4 ? Ka1 is strong and Ka2 = 1.2 102 . 1. 1.2 102 M correct M 3. 4.0 102 M 4. 1.0 107 M 5. 2.0 10 1 0.8 0.6 0.4 0.2 2 4 6 8 10 12 14 pH What is the structure of the dominant species at pH 11? M Explanation: 007 5.0 points Consider the fractional composition diagram for phosphoric acid where pKa1 = 2.12, pKa2 = 7.21, and pKa3 = 12.68. 1.0 Fractional Composition Explanation: 1 1/2 = 8.45 103 M pH = 11.93 4. 1.41 2. 4.0 10 2 1. H3 PO4 5.0 points What would be the pH of a 0.4 M Na2 CO3 solution? Carbonic acid has Ka1 = 2.5 104 , Ka2 = 5.6 1011 . 1. 8.60 2. 11.93 correct 3. 2.07 4. 5.40 5. 7.00 Explanation: Na+ is a spectator, and CO3 2 is a weak base. Kw K b2 = Ka2 1014 = 5.6 1011 = 1.8 104 2. HPO2 correct 4 3. PO3 4 4. H2 PO 4 Explanation: To the left of 2.12, the red graph representing H3 PO4 is dominant. Between 2.12 and 7.21, the blue graph representing H2 PO is dominant. 4 Between 7.21 and 12.68, the orange graph representing HPO2 is dominant. 4 To the right of 12.68, the green graph representing PO3 is dominant. 4
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University of Texas - MATH - 305G
Version 483 Quiz 5 laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.ConstantsR = 8.314 J K1 mol1RT 2.5 kJ mol1(at STP)H f productsH fproducts5.
University of Texas - MATH - 305G
Version 081 Quiz 6 laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.ConstantsR = 8.314 J K1 mol1= k NAk = 1.381 1023 J K112. I only3. II only4.
University of Texas - MATH - 305G
to (aqt73) Section 2.2 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0013. limit = 34. limit does not exist5. limit = 410.0 pointsDetermine
University of Texas - MATH - 305G
to (aqt73) Section 2.3 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsDetermine the value of2 f ( x) g ( x)2 f ( x) 5 g ( x)Det
University of Texas - MATH - 305G
to (aqt73) Section 3.1 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 points14. y + 7x + 1 = 05. y + 7x + 3 = 06. y 7x + 3 = 0Consid
University of Texas - MATH - 305G
to (aqt73) Section 3.3 isaacson (55826)This print-out should have 7 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the value of f (a) whenf ( t) =1. f (a) =Find the x-
University of Texas - MATH - 305G
troyer (lmt836) Section 3.3 isaacson (55826)This print-out should have 7 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsButcfw_2(a + h) + 3(a + 5)= 2h(a + 5) + (2a + 3)(a +
University of Texas - MATH - 305G
to (aqt73) Section 3.4 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.1Find the derivative off ( x) =cos x.5x 4 sin x1. f (x) =4 + 5(x cos
University of Texas - MATH - 305G
troyer (lmt836) Section 3.4 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the derivative of g wheng (x) = x3 cos x .4. x-i
University of Texas - MATH - 305G
to (aqt73) Section 3.5 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the derivative off (x) = 3x sin 2x +3cos 2x .22. f
University of Texas - MATH - 305G
troyer (lmt836) Section 3.5 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0014. f (x) =5. f (x) =10.0 points6. f (x) =Find the derivative of
University of Texas - MATH - 305G
to (aqt73) Section 3.5 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0014. f (x) =5. f (x) =10.0 points6. f (x) =Find the derivative off (x
University of Texas - MATH - 305G
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University of Texas - MATH - 305G
to (aqt73) Section 3.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001xy + 3x + 4x2 = 5 .2. y =y + 3 + 8xxy + 3 + 4xx3. y = y + 3 + 8x
University of Texas - MATH - 305G
troyer (lmt836) Section 3.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.3.dydx4.dydx(4, 1)5.dydx(4, 1)6.xy + 3x + 4x2 = 1 .y + 3 +
University of Texas - MATH - 305G
to (aqt73) Section 3.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.1.dydx2.dydx3.dydx(5, 1)4.dydx(5, 1)y + 3 + 8xx5.dydx(5,
University of Texas - MATH - 305G
to (aqt73) Section 3.7 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsA storm system is headed towards Austin.The Weather Service
University of Texas - MATH - 305G
to (aqt73) Section 3.8 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001In the right-angled triangle10.0 points1. speed = 24 sq. ft/sec2. spe
University of Texas - MATH - 305G
to (aqt73) Section 3.8 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0011the base of the pole when he is 14 feet fromthe pole?1. tip speed =
University of Texas - MATH - 305G
to (aqt73) Section 3.9 isaacson (55826)This print-out should have 3 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001002110.0 pointsFind the dierential, dy , ofy = f (x) = tan(4x2 ) .1
University of Texas - MATH - 305G
to (aqt73) Section 4.1 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 points7. x = 55, 0,66 28. x = ,33003Find all the critic
University of Texas - MATH - 305G
to (aqt73) Section 4.1 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind all the critical points of f whenf ( x) =x2x.+ 25
University of Texas - MATH - 305G
to (aqt73) Section 4.2 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsHow many real roots does the equationx5 + 5 x + 8 = 0have?
University of Texas - MATH - 305G
troyer (lmt836) Section 4.2 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsHow many real roots does the equationx5 + 2 x + 6 = 0
University of Texas - MATH - 305G
troyer (lmt836) Section 4.3 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001002110.0 pointsUse the graph10.0 pointsThe derivative of a fun
University of Texas - MATH - 305G
to (aqt73) Section 4.4 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsDetermine if the limit2x + 1lim2 3x + 2x xexists, and i
University of Texas - MATH - 305G
to (aqt73) Section 4.5 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001143.210.0 points42242424242If f is a function on (4, 4)
University of Texas - MATH - 305G
to (aqt73) Section 4.7 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsA rectangular dog pound with three kennelsas shown in the g
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University of Texas - MATH - 305G
to (aqt73) Section 7.3 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the value of x when1x = 6 log2+ 9 log3 27 .82. ln
University of Texas - MATH - 305G
to (aqt73) Section 7.4 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001Find the derivative off (x) = ln10.0 points1. f (x) = Find the deriv
University of Texas - MATH - 305G
to (aqt73) Section 7.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsf (x) = 5 sin1 x + tan1 x .742. f (1) =1543. f (1) =1
University of Texas - MATH - 305G
to (aqt73) Section 7.8 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0014. A and B only5. B only10.0 points6. A onlyDetermine ifx3 + 6 x2 +
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